Answer:
The correct answer is (A) △ACF ≅ △AEB because of ASA. (D) ∠CFA ≅ ∠EBA (E) FC ≅ BE
Step-by-step explanation:
∠CAF ≅ ∠EAB, Given that the angle AC ≅ AE; ∠ACD ≅ ∠AED, because is the same angle in Vertex A
Then we say, △ACF ≅ △AEB because of ASA has a coherent side (AC ≅ AE) and the two adjoining angles to this side are also coherent (∠ACD ≅ ∠AED and ∠CAF ≅ ∠EAB), then we say option (A) is true: △ACF ≅ △AEB because of angle side angle.
If the two triangles are coherent, then the FC ≅ BE; and ∠CFA ≅ ∠EBA, by CPCTC, then Options D and E are correct